Simplify the expression.
4(-8x + 5) – (-33x – 26) =

Answer:

[tex]\large\boxed{\ln e^4=4}[/tex]

Step-by-step explanation:

[tex]Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^4=4\ln e=4(1)=4[/tex]

4 is the value of the given logarithmic function.

The natural logarithm (ln) and the exponential function [tex](e^x)[/tex] are inverse operations of each other. Therefore, [tex]ln(e^x)[/tex] will cancel out and leave us with just x.

In this case,[tex]ln(e^4)[/tex] simplifies to just 4:

[tex]ln(e^4) = 4[/tex]

So,  the value of [tex]ln(e^4)[/tex] is 4.

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Answer:

96¢

Step-by-step explanation:

We need to find out how much they charge per ounce so

0.72 divided by 6 = 0.12

so it's 12¢ They charge 12¢ an ounce

0.12 x 8 = 96

96¢ for 8 ounces

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Answer:

8/11

Step-by-step explanation:

The answer is a 74 degree angle. This is a simple one to remember.

Answer:

The perimeter of both figures is equal to [tex]64\ units[/tex]

Step-by-step explanation:

step 1

we know that

The perimeter of a square is equal to

[tex]P=4b[/tex]

where

b is the side length of the square

we have

[tex]b=8x\ units[/tex]

substitute

[tex]P=4(8x)=32x\ units[/tex]

step 2

we know that

The perimeter of a rectangle is equal to

[tex]P=2(L+W)[/tex]

we have

[tex]L=(5x+8)\ units[/tex]

[tex]W=(14)\ units[/tex]

substitute

[tex]P=2(5x+8+14)=10x+44\ units[/tex]

step 3

Equate both perimeters and solve for x

[tex]10x+44=32x[/tex]

[tex]32x-10x=44[/tex]

[tex]22x=44[/tex]

[tex]x=2\ units[/tex]

step 4

Find the perimeter of both

square

[tex]P=32x=32(2)=64\ units[/tex]

rectangle

[tex]P=10x+44=10(2)+44=64\ units[/tex]

Answer:

the first one

Step-by-step explanation:

the 36 and the 5 stay in the same places

the x with the negative 4 exponent moves to the bottom and combines with x squared so that makes x to the 6th power on the bottom.

The y  and x move to the top to combine with what is there.

Answer:   [tex]\bold{a)\quad \dfrac{36y^5z^2}{5x^6}}[/tex]

Step-by-step explanation:

[tex]\dfrac{36x^{-4}y^2z^0}{5x^2y^{-3}z^{-2}}\\\\\\=\dfrac{36x^{-4+4}y^{2+3}z^{0+2}}{5x^{2+4}y^{-3+3}z^{-2+2}}\\\\\\=\dfrac{36x^{0}y^5z^2}{5x^6y^{0}z^{0}}\\\\\\=\dfrac{36y^5z^2}{5x^6}[/tex]

Answer:

Step-by-step explanation:

All sides of the figure are triangles. Therefore, the last net represents this figure.

Answer:

It is the Last Net!

Step-by-step explanation:

I learned this in Class and on the lessons. Thankyou have a great day!

Answer:

Choice C.

Step-by-step explanation:

Kermit likes :

15 tea bags

every 2 liters

Peggy:

90 tea bags

12 liters

You would simplify it by dividing 90 by 15, equaling 6. And 12 divided by 2, also equaling 6. Which would mean they are equal and Peggy's tea is exactly like Kermit's favorite iced tea.

Answer:  The correct choice is

Choice (C)  It is just right.

Step-by-step explanation:  Given that Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water and Peggy made a 12 liter batch of iced tea with 90 tea bags.

We are to select the correct choice that describes the thinking of Kermit about Peggy's Iced tea.

The ratio of quantity of water and number of tea bags in Kermit's favorite iced tea is given by

[tex]R_k=2:15.[/tex]

And the ratio quantity of water and number of tea bags in Peggy's iced tea is given by

[tex]R_p=12:90=\dfrac{12}{90}=\dfrac{2}{15}=2:15.[/tex]

Since the ratio of water and number of tea bags in Peggy's iced tea is same as that in Kermit's favorite iced tea, so

Kermit will think that Peggy's iced tea is just right.

Choice (C) is CORRECT.

Divide total miles by miles per gallon:

1200 / 30 = 40 gallons of gas are needed.

Multiply gallons by price per gallon:

40 x 3.85 = $154 total for gas.

Now add the total for gas to the rental cost:

154 + 99 = $253 total cost

I think it would be B.30 here's why i think it would be 30 because it wants to know what the median. and i know that 49 and 27 is not it (i think) and 34 is not it so my answer is 30 PLEASE CORRECT ME IF I AM WRONG.

Answer: 30 acres

Step-by-step explanation: I got a 100% on my quiz!

Answer:

it’s d

Step-by-step explanation:

just took the test

The graph represents the equation g(x) = -∛(x - 1).

Option  D is the correct answer.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

f(x) = ∛x

Reflection over the x-axis.

f(x) = -∛x

And,

Translated one unit to the left.

g(x) = -∛(x - 1)

The graph of g(x) = -∛(x - 1) is shown on the given graph.

Thus,

The graph represents the equation g(x) = -∛(x - 1).

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Answer:

Step-by-step explanation:

We have:

h = 40 ft

2r = 20 ft → r = 10 ft

Substitute to the formula of a Surface Area of a cylinder:

[tex]SA=2\pi r^2+2\pi rh[/tex]

[tex]SA=2\pi(10^2)+2\pi(10)(40)=2\pi(100)+2\pi(400)\\\\=200\pi+800\pi=1,000\pi\ ft^3\\\\\pi\approx3.14\to SA\approx1,000(3.14)=3,140\ ft^3[/tex]

Answer:

[tex]\large\boxed{3\dfrac{18}{19}}[/tex]

Step-by-step explanation:

[tex]\text{First step:}\\\text{Convert the mixed number to the improper fractions:}\\\\7\dfrac{1}{2}=\dfrac{(7)(2)+1}{2}=\dfrac{15}{2}\\\\1\dfrac{9}{10}=\dfrac{(1)(10)+9}{10}=\dfrac{19}{10}\\\\7\dfrac{1}{2}:1\dfrac{9}{10}=\dfrac{15}{2}:\dfrac{19}{10}\\\\\text{Dividing by a fraction is the same as multiplying by the inverse of a fraction}\\\\=\dfrac{15}{2}\cdot\dfrac{10}{19}=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot\dfrac{10\!\!\!\!\diagup^5}{19}=\dfrac{15}{1}\cdot\dfrac{5}{19}=\dfrac{75}{19}=3\dfrac{18}{19}[/tex]

First, convert the mixed fractions into improper fractions. Then, turn the division problem into a multiplication problem by utilizing the concept of reciprocal. This gives us 75/19, or about 3.95 in decimal.

We first need to convert the mixed fractions into improper fractions. To do this, we multiply the whole number by the denominator of the fractional part and then add the numerator, placing this sum over the original denominator. This makes 7 1/2 into 15/2 and 1 9/10 into 19/10. The division problem 7 1/2 divided by 1 9/10 simplifies to 15/2 divided by 19/10.

Next, we remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, we change our division problem into a multiplication problem, transforming 15/2 divided by 19/10 into 15/2 * 10/19.

After multiplying these fractions, we get 150/38, which simplifies to 75/19, which is approximately 3.95 when converted to decimal.

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Answer: perpendicular

Step-by-step explanation: perpendicular lines are lines that intersect at right angles.

Answer: Perpendicular lines intersect so much so that they create 4 90 degree angles around them.

Answer:

4.29

Step-by-step explanation:

Answer:

Step-by-step explanation:

We want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74. 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places). 4.737 rounded to 2 decimal places would be 4.74

Problem 1:

Simplify 5+12+to 17.

4÷17

4 divided by  17 is 0.235294.

Problem 2.

Simplify 3+6+ to 9.

9 + 17 = 26.

Problem 3.

Change 3 + 4 to 7.

7+5÷6

Simplify 5 divided by 6 to 0.833333.

7 + 0.833333.

You simplify that to get 7.833333.

Have an amazing day and thanks for using Brainly.

Answer:

x=37

Step-by-step explanation:

Since this is a right triangle, we can use Pythagorean theorem

a^2 +b^2 =c^2

12^2 +35^2 = x^2

144+1225= x^2

1369 = x^2

Take the square root

sqrt(1369) = sqrt(x^2)

37 = x

Answer:

x = 37

Step-by-step explanation:

Two leg lengths (35 and 12) are given, and the hypotenuse length is to be found.  The Pythagorean Theorem links, these three quantities and enables us to find x quickly and easily:

35² + 12² = x²  →  1225 + 144 = 1369  →  x² = 1369

Find x by taking the square root of both sides:

√(x²) = ±√1369  →  x = ± 37.

Because length is always +, omit x = -37 and keep x = +37.

The mathematical expression for "the product of z, x, and y" can be represented as [tex]\( z \times x \times y \)[/tex].

The mathematical expression for "the product of z, x, and y" can be represented as [tex]\( z \times x \times y \)[/tex]. In this expression, the symbol [tex]\( \times \)[/tex] denotes multiplication, and the three variables [tex]\( z \), \( x \), and \( y \)[/tex] are multiplied together to obtain their product.

This expression succinctly captures the idea of multiplying these three variables. In mathematical terms, a product refers to the result of multiplying two or more numbers or variables.

Therefore, [tex]\( z \times x \times y \)[/tex] represents the outcome of multiplying the values represented by the variables [tex]\( z \), \( x \), and \( y \)[/tex].

This expression provides a clear and concise way to articulate the mathematical concept of the product of three variables.

The product of ( z ), ( x ), and ( y ) is: ( zxy ).

To translate the phrase "the product of ( z ), ( x ), and ( y )" into a mathematical expression, follow these steps:

1. Identify the Variables:

  The variables involved in the expression are ( z ), ( x ), and ( y ).

2. Understand the Operation:

  The term "product" indicates multiplication.

3. Write the Expression:

  To express the product of ( z ), ( x ), and ( y ) mathematically, you simply multiply these variables together.

1. Start with the First Two Variables:

  Multiply ( z ) and ( x ) together.

[tex]\[ z \times x \][/tex]

2.Include the Third Variable:

  Now, multiply the result from the first step by ( y ).

[tex]\[ (z \times x) \times y \][/tex]

3. Simplify the Expression:

  In multiplication, the order in which you multiply numbers does not matter due to the commutative property of multiplication. Therefore, we can drop the parentheses.

[tex]\[ z \times x \times y \][/tex]

The mathematical expression for "the product of ( z ), ( x ), and ( y )" is:

[tex]\[z \cdot x \cdot y\][/tex]

or simply:

[tex]\[zxy\][/tex]

This is the complete mathematical translation of the given phrase.

Answer:

Step-by-step explanation:

Let the number = x

Read carefully the sentence part beginning with 4 times larger

4* something

4 times larger than the square of 1/2 the number

4 * (x/2)^2

4*(x/2)^2 = x

4*x^2/4 = x

x^2 = x  be very careful how you handle this. It looks like 0 might be an answer, but it isn't. If you divide x on both sides and you allow 0, you will get 0 / 0 and that is undefined. You must exclude that possibility with some sort of statement.

x cannot be 0.

x^2/x= x/x

x = 1

Answer:

Answer:

4(x-3)(x+6)

Step-by-step explanation:

We factor out the 4 first since all numbers are divisible by 4. That leaves us with x^2+3x-18.

Then we factor this to get (x-3)(x+6).

So the factored form of the equation is 4(x-3)(x+6)

Step-by-step explanation:

The factors of the equation 4x²+12x -72 will be 4(x-3)(x+6).

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Factor out the 4 first since all numbers are divisible by 4. That leaves us with x² +3x -18.

4( x² +3x -18 ) = 4 ( x² + 6x - 3x -18 )

                      = 4 ( x(x+6) -3 (x + 6)

                      = 4 ( x + 6 ) ( x - 3 )

Hence, the factors are 4 ( x + 6 ) ( x - 3 ).

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Answer:

between 90° and 180°

Step-by-step explanation:

Hello, this is a bet tough so follow the steps!

First we need to set up long division.

     __

33|35

    If we calculate 33 divided by 35 we get 1 with a remainder of 2.

Our work:

  1

   __

33|35

   -33

_____

      2

So therefore we get 1 with a remainder of 2.

Enjoy your day!

Answer:  The correct option is (B) 9.

Step-by-step explanation:  We are given to simplify the following expression :

[tex]E=3^5\div 3^3.[/tex]

We will be using the following property of exponents :

[tex]\dfrac{x^a}{x^b}=x^{a-b}.[/tex]

Therefore, the simplification of the given expression is as follows :

[tex]E\\\\=3^5\div 3^3\\\\\\=\dfrac{3^5}{3^3}\\\\\\=3^{5-3}\\\\=3^2\\\\\=9.[/tex]

Thus, the required simplified answer is 9.

Option (B) is CORRECT.

Answer:

2x + 3y = -10

Step-by-step explanation:

First convert the line into slope intercept form to find the slope of the line.

2x + 3y = 4

3y = 4 - 2x

y = -2/3x + 4/3

The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.

[tex]y --4 = -\frac{2}{3}(x-1)\\y + 4 = -\frac{2}{3}(x -1)[/tex]

Now convert the line into standard form by using the distributive property.

[tex]y + 4 = -\frac{2}{3}(x -1)\\y + 4 = -\frac{2}{3}x + \frac{2}{3}\\3y + 12 = -2x + 2\\2x + 3y + 12 = 2\\2x + 3y = -10[/tex]

Answer:

the answer is a b and e

Step-by-step explanation:

i jus took the assignment

Answer:

A,B,E

Step-by-step explanation:

passed the assignment

Answer:

[tex]\large\boxed{y=-\dfrac{3}{2}x+11}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the point A(8, -1) and B(-4, 17). Substitute:

[tex]m=\dfrac{17-(-1)}{-4-8}=\dfrac{18}{-12}=-\dfrac{3}{2}[/tex]

The equation of a line:

[tex]y=-\dfrac{3}{2}x+b[/tex]

Put the coordinates of the point A(8, -1) to the equation of a line:

[tex]-1=-\dfrac{3}{2}(8)+b[/tex]

[tex]-1=-3(4)+b[/tex]

[tex]-1=-12+b[/tex]     add 12 to both sides

[tex]11=b\to b=11[/tex]

Finally we have the equation of a line in a slope-intercept form:

[tex]y=-\dfrac{3}{2}x+11[/tex]

Answer:

Step-by-step explanation:

∠6 and ∠7 are Alternate Interior Angles.

The lines l and m are parallel, therefore ∠6 and ∠7 are congruent.

m∠6 = m∠7 → 4x - 15 = x + 30        add 15 to both sides

4x = x + 45          subract x from both sides

3x = 45            divide both sides by 3

x = 15

Answer:

[tex]\angle 6 =45^{\circ}[/tex]

Step-by-step explanation:

We are given that l || m

[tex]\angle 6 = 4x-15[/tex]

[tex]\angle 7 = x+30[/tex]

Since l || m

So, [tex]\angle 6 = \angle 7[/tex] (Alternate interior angles are equal )

So, [tex]4x-15 =  x+30[/tex]

[tex]3x= 45[/tex]

[tex]x= 15[/tex]

[tex]\angle 6 = 4x-15=4(15)-15 = 45^{\circ}[/tex]

So, [tex]\angle 6 =45^{\circ}[/tex]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ You cannot form more than one triangle with the sides, because any way you put it, it will always be the same.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

No

Step-by-step explanation:

No

SSS is a way of proving that two triangles are congruent. It also means that the shape and size of the triangle is fixed. There is only 1 way to draw it.

There is 1 other congruency that gives only 1 shape and size. It is SAS.  

You have to reason out ASA. The way it is written (with the side between 2 angles, there is only 1 way possible to draw a triangle with shape and size consistent.  The side must be between the 2 angles..

Answer:

S+T

Step-by-step explanation:

Answer:

The answer is [tex]\frac{4y}{y+3}[/tex] ⇒ the 4th answer

Step-by-step explanation:

* Lets talk about the product of two fraction

- If we have two fraction a/b and c/d, the product of them

  will be ac/bd

- The there is any simplify can do between numerator and

  denominator we must to make it

Ex: 2a²/5b × 15b/4a, we can simplify 2a² with 4a at first and

      simplify 15b with 5b and then put the answer

∵ 2a²/4a = a/2 ⇒ 2 ÷ 4 = 1/2 and a² ÷ a = a

∵ 15b/5b = 3 ⇒ 15 ÷ 5 = 3 and b ÷ b = 1

∴ 2a²/5b × 15b/4a = a/1 × 3/2 = 3a/2

* Now lets solve the problem

∵ [tex]\frac{2y}{y-3}*\frac{4y-12}{2y+6}[/tex]

- We can simplify the second fraction at first

∵ [tex]\frac{4y-12}{2y+6}=\frac{4(y-3)}{2(y+3}=\frac{2(y-3)}{y+3}[/tex]

- At first we took 4 as a common factor from 4y - 12 ⇒ 4(y - 3)

 and then simplify 4 with 2 in the denominator

- we can cancel the term x - 3 in the numerator of the second

 fraction with the same term in the denominator of the first fraction

∴ [tex]\frac{2y}{1}*\frac{2(1)}{y+3}=\frac{4y}{y+3}[/tex]

* The answer is [tex]\frac{4y}{y+3}[/tex]

Answer:

X=3

Y=9

Step-by-step explanation:

X is equal to the 3 and multipy 3 by its self to get Y=9